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TECHNICAL PAPERS

Gear Parameters for Specified Deflections

[+] Author and Article Information
David B. Dooner, Roberto A. Santana

Department of Mechanical Engineering, University of Puerto Rico at Mayagüez, Mayagüez, Puerto Rico 00681-9045

J. Mech. Des 123(3), 416-421 (Feb 01, 2000) (6 pages) doi:10.1115/1.1377281 History: Received February 01, 2000
Copyright © 2001 by ASME
Topics: Gears , Deflection , Rotation
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References

Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall, Engelwood Cliffs, NJ.
Gosselin, C., 1999, “Corrective Machine Settings of Spiral-Bevel and Hypoid Gears with Profile Deviations,” 4th World Congress on Gearing and Power Transmission, CNIT-PARIS, Vol. 1, pp. 543–554.
Bar, G., 1999, “Accurate Tooth Contact Determination and Optimization for Hypoid Bevel Gears Using Automatic Differentiation,” 4th World Congress on Gearing and Power Transmission, CNIT-PARIS, Vol. 1, pp. 519–529.
Stadtfeld, H. J., 1995, Gleason Bevel Gear Technology, The Gleason Works, Rochester, New York.
Simon, V., 1999, The Influence of Misalignments on Load Distribution in Hypoid Gears, 4th World Congress on Gearing and Power Transmission, CNIT-PARIS, Vol. 1, pp. 637–649.
Dooner, D. B., and Seireg, A., 1995, The Kinematic Geometry of Gearing: A Concurrent Engineering Approach, John Wiley and Sons Inc., New York.
Beggs, J. S., 1959, “Ein Beitrag zur Analyze Räumlicher Mechanismen,” Doctoral Thesis, Technische Hochschle Hannover, Hanover.
Phillips,  J., and Hunt,  K., 1964, “On The Theorem of Three Axes in the Spatial Motion of Three Bodies,” Australian Journal of Applied Science,15, pp. 267–287.
Skeiner,  M., 1966, “A Study of the Geometry and the Kinematics of Instantaneous Spatial Motion,” J. Mech.,1, pp. 115–143.
Yang, A. T., Kirson, Y., and Roth, B., 1975, “On a Kinematic Curvature Theory for Ruled Surfaces,” Proceedings of the 4th World Congress on the Theory of Machines and Mechanisms, pp. 737–742.
Hirschhorn,  J., 1989, “Path Curvatures in Three-Dimensional Constrained Motion of Rigid Body,” Mech. Mach. Theory, 24, No. 2, pp. 73–81.
Chen,  N., 1998, “Curvatures and Slideing Ratios of Conjugate Surfaces,” ASME J. Mech. Des., 120, Mar., pp. 126–132.
Houser, D., 1992, Dudley’s Gear Handbook, 3rd Edition, McGraw Hill-Inc.
Smith, J. D., 1983, Gears and Their Vibration: A Basic Approach to Understanding Gear Noise, Marcel Dekker, The MacMillan Press Ltd., London.
Smith, J. D., 1999, Gear Noise and Vibration, Marcel Dekker, Inc., New York.
Litvin,  F. L., Lu,  J., Townsend,  D. P., and Howkins,  M., 1999, “Computerized Simulation of Meshing of Conventional Helical Involute Gears and Modification of Geometry,” Mech. Mach. Theory, 34, pp. 123–147.

Figures

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A hyperboloidal gear pair in mesh as defined by center distance E and shaft angle Σ
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An “unloaded” cylindrical gear pair in mesh (a) and a loaded cylindrical gear pair in mesh (b)
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An input coordinate system (xi,yi,zi) attached to the driving or input wheel where the xi-axis is the axis of rotation and an output coordinate system (xo,yo,zo) attached to the drivin or output wheel where the xo-axis is the axis of rotation
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Relation between input axis of rotation $i, output axis of rotation $o, instantaneous screw axis $isa, and contact normal $l
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Two loaded “cylindrical” gear in mesh
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Hand drill (a) and the motor/gear-head assembly (b)

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